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2024 InIMC keystage2-EMIC individual Question 3

xIMC · 2024 InIMC keystage2-EMIC individual

Question 3

A box contains a sufficient amount of red, blue and yellow balls, each of which has a value of 3, 5 and 6 points, respectively. Larry draws some balls from the box such that the number of yellow balls he draws is less than both the number of red balls drawn and the number of blue balls drawn.

If Larry draws the smallest possible number of balls from the box, such that at least one ball of each colour is drawn and the total value of the drawn balls is 66 points, what is the number of red balls drawn by Larry?